A (100-mathrm{m}) steel cable that helps support the Golden Gate Bridge is (72.0 mathrm{~mm}) in diameter and

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A \(100-\mathrm{m}\) steel cable that helps support the Golden Gate Bridge is \(72.0 \mathrm{~mm}\) in diameter and composed of 100 steel wires twisted together. Approximate this as a single uniform steel cable that has a mass density of \(7.86 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}\). The wind generates in the cable a vibration that creates a wave that travels down the cable at \(380 \mathrm{~m} / \mathrm{s}\). What is the tension in the cable?

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